Displaying similar documents to “Interpolation of the measure of non-compactness by the real method”

The Lions's problem for Gustavsson-Peetre functor.

E.I. Bereznoi, Mieczyslaw Mastylo (1990)

Publicacions Matemàtiques

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The problem of coincidence of the interpolation spaces obtained by use of the interpolation method of Gustavsson-Peetre generated by (parameters) quasi-concave functions is investigated. It is shown that a restriction of this method to the class of all non-trivial Banach couples gives different interpolation spaces whenever two different parameters satisfying some conditions are used.

Inequalities and interpolation.

L. Maligranda, L. E. Persson (1993)

Collectanea Mathematica

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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P can be described by one Carlson type inequality and that the wider class P can be characterized by another Carlson type inequality with blocks.

Real interpolation for families of Banach spaces

Maria Carro (1994)

Studia Mathematica

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We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for 2 N spaces and the recent method of Cobos-Peetre.

On interpolation of bilinear operators by methods associated to polygons

Fernando Cobos, José María Cordeiro, Antón Martínez (1999)

Bollettino dell'Unione Matematica Italiana

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Stabiliamo teoremi di interpolazione bilineare per una combinazione dei metodi di K - e J -interpolazione associati ai poligoni, e per il J -metodo. Mostriamo che un simile risultato fallisce per il K -metodo, e diamo applicazioni all'interpolazione di spazi di operatori.